Thin layer shear and second order homogenization method

Computer Assisted Mechanics and Engineering Sciences

Volumn 13, Issue 4, 2006, Pages 537-546

  Kaczmarczyk, Łukasz ^a  

^a CRACOW UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; MICROSTRUCTURE; NONLINEAR SYSTEMS; THEOREM PROVING;

DISCRETISATION TECHNIQUES; HETEROGENEOUS MATERIALS; REPRESENTATIVE VOLUME ELEMENT (RVE);

HOMOGENIZATION METHOD;

EID: 33947233860     PISSN: 1232308X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Conference Paper

References (10)

1. M. Ainsworth. Essential boundary conditions and multi-point constraints in finite element analysis. Comput. Methods Appl. Mech. Engrg., 190: 6323-6339, 2001.
2. F. Feyel. Multiscale FE2 elastoviscoplastic analysis of composite structures. Comput. Mater. Sci., 16: 344-354, 1999.
3. F. Feyel. A multilevel finite element method (FE2) to describe the response of highly non-linear structures using generalized continua. Comput. Methods Appl. Mech. Engrg., 192: 3233-3244, 2003.
4. L. Kaczmarczyk. Numerical analysis of multiscale problems in mechanics of inhomogeneous media. Ph.D. thesis, Cracow University of Technology, 2006, http://www.15.pk.edu.pl/~likask/phd.html
5. V.G. Kouznetsova. Computational Homogenization for the Multi-scale Analysis of Multi-phase Materials. Ph.D. thesis, Technishe Universiteit, Eindhoven, 2002.
6. V.G. Kouznetsova, M.G.D. Geers, W.A.M. Brekelmans. Size of a representative volume element in a second-order computational homogenization framework. Int. J. Multiscale Comput. Engrg., 2(4): 575-598, 2004.
7. C. Miehe, A. Koch. Computational micro-to-macro transitions of discretized microstructures undergoing small strains. Arch. Appl. Mech., 72: 300-317, 2002.
8. R.D. Mindlin. Second gradient of strain and surface-tension in linear elasticity. Int. J. Solids Struct., 1: 417-438, 1965.
9. S. Nemat-Nasser, M. Hori. Micromechanics: Overall Properties of Heterogeneous Materials. Elsevier, 1999.
10. J.Y. Shu, W.E. King, N.A. Fleck. Finite element for materials with strain gradient effects. Int. J. Num. Meth. Engrg., 44: 373-391, 1999.